Question

2. (8 pts) Consider the screened Coulomb potential of a point charge q that arises e.g. in plasma physics: V(r) = kq xPL T/A), where is a constant called screening length. a) (2 pts) Determine E(r) associated with potential. b) (2 pts) Find the charge distribution p(r) that produces this potential. (Think carefully about what happens at the origin!) c) (2 pts) Show by explicit integration over p(r) that the charge represented by this distribution is zero. (If you don't get zero, think again about what happens at r=0) d) (2 pts) Verify your result from part c) by using Gauss's Law.

Answer 1

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